I learned from this article that reflection involves only yourself. This is what most teachers tend to do with themselves after they have taught a new lesson to their class. Someone may also reflect on research that they have done. This reflection again, would happen alone. Reflexivity to me, means responding to someone's engagement with another person. This is not something that may happen all by yourself.
To Answer the question, What is your understand of being a reflective and reflexive researcher? I believe that researchers must do as much research as possible with data from all available resources. Researching does not just mean reading articles. You must look to unpopular places to find any information that you need. Such things as books, other research, movies, and articles. As a researcher you must also know to look at both sides of a debate. Looking closely at both sides will help you.